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Simplifying 6(x + -9) = 7(x + -5) Reorder the terms: 6(-9 + x) = 7(x + -5) (-9 * 6 + x * 6) = 7(x + -5) (-54 + 6x) = 7(x + -5) Reorder the terms: -54 + 6x = 7(-5 + x) -54 + 6x = (-5 * 7 + x * 7) -54 + 6x = (-35 + 7x) Solving -54 + 6x = -35 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -54 + 6x + -7x = -35 + 7x + -7x Combine like terms: 6x + -7x = -1x -54 + -1x = -35 + 7x + -7x Combine like terms: 7x + -7x = 0 -54 + -1x = -35 + 0 -54 + -1x = -35 Add '54' to each side of the equation. -54 + 54 + -1x = -35 + 54 Combine like terms: -54 + 54 = 0 0 + -1x = -35 + 54 -1x = -35 + 54 Combine like terms: -35 + 54 = 19 -1x = 19 Divide each side by '-1'. x = -19 Simplifying x = -19
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